Use the functions a(x) = 5x + 11 and b(x) = 4x − 3 to complete the function operations listed below. Part A: Find (a + b)(x). Part B: Find (a - b)(x). Part C: Find (a ⋅ b)(x). Show your work.

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asked Mar 28, 2019 58.6k views

3 votes

Use the functions a(x) = 5x + 11 and b(x) = 4x − 3 to complete the function operations listed below.

Part A: Find (a + b)(x).

Part B: Find (a - b)(x).

Part C: Find (a ⋅ b)(x). Show your work.

Mathematics
high-school

Jparker asked

by Jparker

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1 Answer

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$a(x)=5x+11\\b(x)=4x-3\\\\A.\\(a+b)(x)=(5x+11)+(4x-3)=(5x+4x)+(11-3)=9x+8\\\\B.\\(a-b)(x)=(5x+11)-(4x-3)=5x+11-4x+3=(5x-4x)+(11+3)=x+14\\\\C.\\(a\cdot b)(x)=(5x+11)(4x-3)=(5x)(4x)+(5x)(-3)+(11)(4x)+(11)(-3)\\=20x^2-15x+44x-33=20x^2+29x-33$

Malwinder Singh answered Apr 3, 2019